Algorithmics For Hard Problems

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Algorithmics for Hard Problems

Juraj Hromkovič
Algorithmics for Hard Problems Book PDF

Author : Juraj Hromkovič
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 50,6 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662052693

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Algorithmics for Hard Problems by Juraj Hromkovič Pdf

Algorithmic design, especially for hard problems, is more essential for success in solving them than any standard improvement of current computer tech nologies. Because of this, the design of algorithms for solving hard problems is the core of current algorithmic research from the theoretical point of view as well as from the practical point of view. There are many general text books on algorithmics, and several specialized books devoted to particular approaches such as local search, randomization, approximation algorithms, or heuristics. But there is no textbook that focuses on the design of algorithms for hard computing tasks, and that systematically explains, combines, and compares the main possibilities for attacking hard algorithmic problems. As this topic is fundamental for computer science, this book tries to close this gap. Another motivation, and probably the main reason for writing this book, is connected to education. The considered area has developed very dynami cally in recent years and the research on this topic discovered several profound results, new concepts, and new methods. Some of the achieved contributions are so fundamental that one can speak about paradigms which should be in cluded in the education of every computer science student. Unfortunately, this is very far from reality. This is because these paradigms are not sufficiently known in the computer science community, and so they are insufficiently com municated to students and practitioners.

Algorithmics for Hard Problems

Juraj Hromkovič
Algorithmics for Hard Problems Book PDF

Author : Juraj Hromkovič
Publisher : Springer
Page : 520 pages
File Size : 44,7 Mb
Release : 2001-05-22
Category : Business & Economics
ISBN : UOM:39015050801888

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Algorithmics for Hard Problems by Juraj Hromkovič Pdf

An introduction to the methods of designing algorithms for hard computing tasks, concentrating mainly on approximate, randomized, and heuristic algorithms, and on the theoretical and experimental comparison of these approaches according to the requirements of the practice. This is the first book to systematically explain and compare all the main possibilities of attacking hard computing problems. It also closes the gap between theory and practice by providing at once a graduate textbook and a handbook for practitioners dealing with hard computing problems.

Approximation Algorithms for NP-hard Problems

Dorit S. Hochbaum
Approximation Algorithms for NP hard Problems Book PDF

Author : Dorit S. Hochbaum
Publisher : Course Technology
Page : 632 pages
File Size : 48,8 Mb
Release : 1997
Category : Computers
ISBN : UOM:39015058079271

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Approximation Algorithms for NP-hard Problems by Dorit S. Hochbaum Pdf

This is the first book to fully address the study of approximation algorithms as a tool for coping with intractable problems. With chapters contributed by leading researchers in the field, this book introduces unifying techniques in the analysis of approximation algorithms. APPROXIMATION ALGORITHMS FOR NP-HARD PROBLEMS is intended for computer scientists and operations researchers interested in specific algorithm implementations, as well as design tools for algorithms. Among the techniques discussed: the use of linear programming, primal-dual techniques in worst-case analysis, semidefinite programming, computational geometry techniques, randomized algorithms, average-case analysis, probabilistically checkable proofs and inapproximability, and the Markov Chain Monte Carlo method. The text includes a variety of pedagogical features: definitions, exercises, open problems, glossary of problems, index, and notes on how best to use the book.

Introduction to Algorithms, third edition

Thomas H. Cormen,Charles E. Leiserson,Ronald L. Rivest,Clifford Stein
Introduction to Algorithms third edition Book PDF

Author : Thomas H. Cormen,Charles E. Leiserson,Ronald L. Rivest,Clifford Stein
Publisher : MIT Press
Page : 1313 pages
File Size : 41,5 Mb
Release : 2009-07-31
Category : Computers
ISBN : 9780262258104

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Introduction to Algorithms, third edition by Thomas H. Cormen,Charles E. Leiserson,Ronald L. Rivest,Clifford Stein Pdf

The latest edition of the essential text and professional reference, with substantial new material on such topics as vEB trees, multithreaded algorithms, dynamic programming, and edge-based flow. Some books on algorithms are rigorous but incomplete; others cover masses of material but lack rigor. Introduction to Algorithms uniquely combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor. The first edition became a widely used text in universities worldwide as well as the standard reference for professionals. The second edition featured new chapters on the role of algorithms, probabilistic analysis and randomized algorithms, and linear programming. The third edition has been revised and updated throughout. It includes two completely new chapters, on van Emde Boas trees and multithreaded algorithms, substantial additions to the chapter on recurrence (now called “Divide-and-Conquer”), and an appendix on matrices. It features improved treatment of dynamic programming and greedy algorithms and a new notion of edge-based flow in the material on flow networks. Many exercises and problems have been added for this edition. The international paperback edition is no longer available; the hardcover is available worldwide.

Problems on Algorithms

Ian Parberry
Problems on Algorithms Book PDF

Author : Ian Parberry
Publisher : Unknown
Page : 0 pages
File Size : 55,6 Mb
Release : 1995
Category : Algorithms
ISBN : 0134335589

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Problems on Algorithms by Ian Parberry Pdf

With approximately 600 problems and 35 worked examples, this supplement provides a collection of practical problems on the design, analysis and verification of algorithms. The book focuses on the important areas of algorithm design and analysis: background material; algorithm design techniques; advanced data structures and NP-completeness; and miscellaneous problems. Algorithms are expressed in Pascal-like pseudocode supported by figures, diagrams, hints, solutions, and comments.

Nonlinear Assignment Problems

Panos M. Pardalos,L.S. Pitsoulis
Nonlinear Assignment Problems Book PDF

Author : Panos M. Pardalos,L.S. Pitsoulis
Publisher : Springer Science & Business Media
Page : 317 pages
File Size : 40,5 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9781475731552

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Nonlinear Assignment Problems by Panos M. Pardalos,L.S. Pitsoulis Pdf

Nonlinear Assignment Problems (NAPs) are natural extensions of the classic Linear Assignment Problem, and despite the efforts of many researchers over the past three decades, they still remain some of the hardest combinatorial optimization problems to solve exactly. The purpose of this book is to provide in a single volume, major algorithmic aspects and applications of NAPs as contributed by leading international experts. The chapters included in this book are concerned with major applications and the latest algorithmic solution approaches for NAPs. Approximation algorithms, polyhedral methods, semidefinite programming approaches and heuristic procedures for NAPs are included, while applications of this problem class in the areas of multiple-target tracking in the context of military surveillance systems, of experimental high energy physics, and of parallel processing are presented. Audience: Researchers and graduate students in the areas of combinatorial optimization, mathematical programming, operations research, physics, and computer science.

Algorithmics

David Harel
Algorithmics Book PDF

Author : David Harel
Publisher : Addison Wesley Publishing Company
Page : 444 pages
File Size : 54,6 Mb
Release : 1987
Category : Computers
ISBN : STANFORD:36105003996688

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Algorithmics by David Harel Pdf

Software -- Programming Techniques.

Combinatorial Optimization

Christos H. Papadimitriou,Kenneth Steiglitz
Combinatorial Optimization Book PDF

Author : Christos H. Papadimitriou,Kenneth Steiglitz
Publisher : Courier Corporation
Page : 528 pages
File Size : 47,5 Mb
Release : 2013-04-26
Category : Mathematics
ISBN : 9780486320137

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Combinatorial Optimization by Christos H. Papadimitriou,Kenneth Steiglitz Pdf

This graduate-level text considers the Soviet ellipsoid algorithm for linear programming; efficient algorithms for network flow, matching, spanning trees, and matroids; the theory of NP-complete problems; local search heuristics for NP-complete problems, more. 1982 edition.

Complexity in Numerical Optimization

Panos M. Pardalos
Complexity in Numerical Optimization Book PDF

Author : Panos M. Pardalos
Publisher : World Scientific
Page : 536 pages
File Size : 55,7 Mb
Release : 1993
Category : Mathematics
ISBN : 9810214154

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Complexity in Numerical Optimization by Panos M. Pardalos Pdf

Computational complexity, originated from the interactions between computer science and numerical optimization, is one of the major theories that have revolutionized the approach to solving optimization problems and to analyzing their intrinsic difficulty.The main focus of complexity is the study of whether existing algorithms are efficient for the solution of problems, and which problems are likely to be tractable.The quest for developing efficient algorithms leads also to elegant general approaches for solving optimization problems, and reveals surprising connections among problems and their solutions.This book is a collection of articles on recent complexity developments in numerical optimization. The topics covered include complexity of approximation algorithms, new polynomial time algorithms for convex quadratic minimization, interior point algorithms, complexity issues regarding test generation of NP-hard problems, complexity of scheduling problems, min-max, fractional combinatorial optimization, fixed point computations and network flow problems.The collection of articles provide a broad spectrum of the direction in which research is going and help to elucidate the nature of computational complexity in optimization. The book will be a valuable source of information to faculty, students and researchers in numerical optimization and related areas.

Approximation Algorithms

Vijay V. Vazirani
Approximation Algorithms Book PDF

Author : Vijay V. Vazirani
Publisher : Springer Science & Business Media
Page : 380 pages
File Size : 46,5 Mb
Release : 2013-03-14
Category : Computers
ISBN : 9783662045657

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Approximation Algorithms by Vijay V. Vazirani Pdf

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Algorithms

Jeff Erickson
Algorithms Book PDF

Author : Jeff Erickson
Publisher : Unknown
Page : 472 pages
File Size : 40,7 Mb
Release : 2019-06-13
Category : Electronic
ISBN : 1792644833

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Algorithms by Jeff Erickson Pdf

Algorithms are the lifeblood of computer science. They are the machines that proofs build and the music that programs play. Their history is as old as mathematics itself. This textbook is a wide-ranging, idiosyncratic treatise on the design and analysis of algorithms, covering several fundamental techniques, with an emphasis on intuition and the problem-solving process. The book includes important classical examples, hundreds of battle-tested exercises, far too many historical digressions, and exaclty four typos. Jeff Erickson is a computer science professor at the University of Illinois, Urbana-Champaign; this book is based on algorithms classes he has taught there since 1998.

Algorithmic Puzzles

Anany Levitin,Maria Levitin
Algorithmic Puzzles Book PDF

Author : Anany Levitin,Maria Levitin
Publisher : OUP USA
Page : 280 pages
File Size : 42,9 Mb
Release : 2011-10-14
Category : Computers
ISBN : 9780199740444

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Algorithmic Puzzles by Anany Levitin,Maria Levitin Pdf

Algorithmic puzzles are puzzles involving well-defined procedures for solving problems. This book will provide an enjoyable and accessible introduction to algorithmic puzzles that will develop the reader's algorithmic thinking. The first part of this book is a tutorial on algorithm design strategies and analysis techniques. Algorithm design strategies — exhaustive search, backtracking, divide-and-conquer and a few others — are general approaches to designing step-by-step instructions for solving problems. Analysis techniques are methods for investigating such procedures to answer questions about the ultimate result of the procedure or how many steps are executed before the procedure stops. The discussion is an elementary level, with puzzle examples, and requires neither programming nor mathematics beyond a secondary school level. Thus, the tutorial provides a gentle and entertaining introduction to main ideas in high-level algorithmic problem solving. The second and main part of the book contains 150 puzzles, from centuries-old classics to newcomers often asked during job interviews at computing, engineering, and financial companies. The puzzles are divided into three groups by their difficulty levels. The first fifty puzzles in the Easier Puzzles section require only middle school mathematics. The sixty puzzle of average difficulty and forty harder puzzles require just high school mathematics plus a few topics such as binary numbers and simple recurrences, which are reviewed in the tutorial. All the puzzles are provided with hints, detailed solutions, and brief comments. The comments deal with the puzzle origins and design or analysis techniques used in the solution. The book should be of interest to puzzle lovers, students and teachers of algorithm courses, and persons expecting to be given puzzles during job interviews.

The Art and Craft of Problem Solving

Paul Zeitz
The Art and Craft of Problem Solving Book PDF

Author : Paul Zeitz
Publisher : John Wiley & Sons
Page : 389 pages
File Size : 53,9 Mb
Release : 2017
Category : Problem solving
ISBN : 9781119239901

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The Art and Craft of Problem Solving by Paul Zeitz Pdf

This text on mathematical problem solving provides a comprehensive outline of "problemsolving-ology," concentrating on strategy and tactics. It discusses a number of standard mathematical subjects such as combinatorics and calculus from a problem solver's perspective.

Algorithmic Thinking

Daniel Zingaro
Algorithmic Thinking Book PDF

Author : Daniel Zingaro
Publisher : No Starch Press
Page : 409 pages
File Size : 52,7 Mb
Release : 2020-12-15
Category : Computers
ISBN : 9781718500815

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Algorithmic Thinking by Daniel Zingaro Pdf

A hands-on, problem-based introduction to building algorithms and data structures to solve problems with a computer. Algorithmic Thinking will teach you how to solve challenging programming problems and design your own algorithms. Daniel Zingaro, a master teacher, draws his examples from world-class programming competitions like USACO and IOI. You'll learn how to classify problems, choose data structures, and identify appropriate algorithms. You'll also learn how your choice of data structure, whether a hash table, heap, or tree, can affect runtime and speed up your algorithms; and how to adopt powerful strategies like recursion, dynamic programming, and binary search to solve challenging problems. Line-by-line breakdowns of the code will teach you how to use algorithms and data structures like: The breadth-first search algorithm to find the optimal way to play a board game or find the best way to translate a book Dijkstra's algorithm to determine how many mice can exit a maze or the number of fastest routes between two locations The union-find data structure to answer questions about connections in a social network or determine who are friends or enemies The heap data structure to determine the amount of money given away in a promotion The hash-table data structure to determine whether snowflakes are unique or identify compound words in a dictionary NOTE: Each problem in this book is available on a programming-judge website. You'll find the site's URL and problem ID in the description. What's better than a free correctness check?

Data Correcting Approaches in Combinatorial Optimization

Boris I. Goldengorin,Panos M. Pardalos
Data Correcting Approaches in Combinatorial Optimization Book PDF

Author : Boris I. Goldengorin,Panos M. Pardalos
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 50,7 Mb
Release : 2012-10-10
Category : Mathematics
ISBN : 9781461452867

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Data Correcting Approaches in Combinatorial Optimization by Boris I. Goldengorin,Panos M. Pardalos Pdf

​​​​​​​​​​​​​​​​​Data Correcting Approaches in Combinatorial Optimization focuses on algorithmic applications of the well known polynomially solvable special cases of computationally intractable problems. The purpose of this text is to design practically efficient algorithms for solving wide classes of combinatorial optimization problems. Researches, students and engineers will benefit from new bounds and branching rules in development efficient branch-and-bound type computational algorithms. This book examines applications for solving the Traveling Salesman Problem and its variations, Maximum Weight Independent Set Problem, Different Classes of Allocation and Cluster Analysis as well as some classes of Scheduling Problems. Data Correcting Algorithms in Combinatorial Optimization introduces the data correcting approach to algorithms which provide an answer to the following questions: how to construct a bound to the original intractable problem and find which element of the corrected instance one should branch such that the total size of search tree will be minimized. The PC time needed for solving intractable problems will be adjusted with the requirements for solving real world problems.​